Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120bm |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-11266807692902400 = -1 · 214 · 318 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-349707,79762106] |
[a1,a2,a3,a4,a6] |
j |
-1583978245048009/3773231100 |
j-invariant |
L |
3.2364395845471 |
L(r)(E,1)/r! |
Ω |
0.40455494792393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6390u1 17040n1 |
Quadratic twists by: -4 -3 |